Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536g |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-261863502356016 = -1 · 24 · 38 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36519,-2784546] |
[a1,a2,a3,a4,a6] |
Generators |
[55722:4648347:8] |
Generators of the group modulo torsion |
j |
-336645064644892672/16366468897251 |
j-invariant |
L |
3.8709297133948 |
L(r)(E,1)/r! |
Ω |
0.1721905425554 |
Real period |
R |
3.7467502143731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768p1 78144ct1 58608f1 |
Quadratic twists by: -4 8 -3 |